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                [Sdoi2013]方程                </h1>
                <p>时间限制：30s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：256MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium">给定方程<br />
&nbsp;&nbsp;&nbsp; X1+X2+. +Xn=M<br />
我们对第l..N1个变量进行一些限制：<br />
Xl &lt; = A<br />
X2 &lt; = A2<br />
Xn1 &lt; = An1<br />
我们对第n1 + 1..n1+n2个变量进行一些限制：<br />
Xn1+l &gt; = An1+1<br />
Xn1+2 &gt; = An1+2<br />
Xnl+n2 &gt; = Anl+n2<br />
求：在满足这些限制的前提下，该方程正整数解的个数。<br />
答案可能很大，请输出对p取模后的答案，也即答案除以p的余数。<br />
</span></p></p><hr/><h3>输入格式</h3><p><p><font size="4">&nbsp;&nbsp;&nbsp; 输入含有多组数据，第一行两个正整数T，p。T表示这个测试点内的数据组数，p的含义见题目描述。<br />
&nbsp;&nbsp;&nbsp; 对于每组数据，第一行四个非负整数n，n1，n2，m。<br />
&nbsp;&nbsp;&nbsp; 第二行nl+n2个正整数，表示A1..n1+n2。请注意，如果n1+n2等于0，那么这一行会成为一个空行。<br />
</font></p></p><hr/><h3>输出格式</h3><p><p><font size="4">&nbsp; 共T行，每行一个正整数表示取模后的答案。<br />
</font></p></p><hr/><h3>样例输入</h3><pre>3 10007
3 1 1 6
3 3
3 0 0 5

3  1  1  3
3  3

</pre><hr/><h3>样例输出</h3><pre>3
6
0

【样例说明】
对于第一组数据，三组解为(1，3，2)，(1,4,1),(2,3,1)
对于第二组数据，六组解为(1，1，3)，(1,2,2),(1,3,1),(2,1,2),(2,2,1),(3,1,1)
</pre><hr/><h3>提示</h3><p><p><span style="font-size: medium">n &lt; = 10^9&nbsp;&nbsp;, n1 &lt; = 8&nbsp;&nbsp;&nbsp;, n2 &lt; = 8&nbsp;&nbsp;&nbsp;,&nbsp; m &lt; = 10^9&nbsp;&nbsp;,p&lt;=437367875</span></p>
<p><span style="font-size: medium">对于l00%的测试数据：&nbsp; T &lt; = 5，1 &lt; = A1..n1_n2&nbsp; &lt; = m，n1+n2 &lt; = n</span></p></p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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